The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  X  X a*X a^2*X a^4*X a^5*X a^5*X  0
 0  0  X  0 a^6*X a^5*X a*X a^6*X a^6*X a*X a^6*X  0
 0  0  0  X  X a^4*X a^4*X  X a^6*X a^4*X a^6*X  X

generates a code of length 12 over F8[X]/(X^2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+413x^64+448x^72+784x^80+28672x^84+1568x^88+882x^96

The gray image is a linear code over GF(8) with n=96, k=5 and d=64.
This code was found by Heurico 1.16 in 0.0739 seconds.